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Finding the Fourth Proportional to 18,257.18, 27,389.47 and 7,727.18

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Solution

The fourth proportional to 18,257.18, 27,389.47 and 7,727.18 is: 11,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,257.18 : 27,389.47 = 7,727.18 : x
  2. Step 2: Convert to fraction form
    18,257.18/27,389.47 = 7,727.18/x
  3. Step 3: Cross multiply
    18,257.18x = 27,389.47 × 7,727.18
  4. Step 4: Simplify right side
    18,257.18x = 211,643,326.16
  5. Step 5: Solve for x
    x = 211,643,326.16/18,257.18
  6. Step 6: Final answer
    x = 11,592.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.